List of top Questions asked in Telangana State Post Graduate Engineering Common Entrance Test

Which of the following techniques is primarily used for the synthesis of carbon nanotubes?
Which of the following materials exhibits superparamagnetism at the nanoscale?
The top-down approach in nanofabrication refers to:
Which of the following is an example of non-point source pollution?
The surface area-to-volume ratio of nanoparticles:
In which year was the Earth Summit (Rio Conference) held?
The term "carrying capacity" refers to:
Bioremediation is a process used to:
The quantum confinement effect in nanoparticles is observed when:
Which one of the following gases is not a greenhouse gas?
The Environmental Impact Assessment (EIA) is used to:
The ISO 14001 standard deals with:
Which of the following techniques is most commonly used for imaging at the nanoscale?
Which of the following is not a principle of sustainable development?
What is a primary key in a relational database?
Which algorithm is used for finding the shortest path in a weighted graph with negative edges?
What is the purpose of the subnet mask in IP addressing?
What is the role of the page table in an operating system?
What is the time complexity of inserting an element into a balanced binary search tree?
Solve the differential equation:
\[ \frac{d^2y}{dx^2} - 4y = 0 \]
Use Newton-Raphson method to find the root of $f(x) = x^3 - x - 2 = 0$ starting with $x_0 = 1$ after one iteration.
A bag contains 3 red and 2 blue balls. Two balls are drawn without replacement. What is the probability that both are red?
Evaluate the integral:
\[ \int_0^1 x e^x \, dx \]
Determine the rank of the matrix:
\[ \begin{pmatrix} 1 & 2 & 3 \\ 2 & 4 & 6 \\ 3 & 6 & 9 \end{pmatrix} \]
Find the inverse of the matrix:
\[ \begin{pmatrix} 2 & 3 \\ 1 & 4 \end{pmatrix} \]